
\begin{table}
\caption{Robustness Check: The Impact of Chinese Leadership Visits on Foreign Policy Convergence (Pre-2008 vs Post-2008)}
\begin{center}
\scalebox{0.8}{
\begin{tabular}{l c c c c c c}
\hline
 & \multicolumn{3}{c}{Pre-2008 Period} & \multicolumn{3}{c}{Post-2008 Period} \\
\cline{2-4} \cline{5-7}
 & M1:OLS & M2:SAR & M3:SLX & M4:OLS & M5:SAR & M6:SLX \\
\hline
Temporal Lagged DV                       & $0.6641^{***}$  & $0.6291^{***}$  & $0.6641^{***}$  & $-0.0076$      & $-0.0046$       & $-0.0078$      \\
                                         & $(0.0108)$      & $(0.0106)$      & $(0.0108)$      & $(0.0305)$     & $$              & $(0.0305)$     \\
Chinese State Visits                     & $-0.0315^{***}$ & $-0.0309^{***}$ & $-0.0315^{***}$ & $-0.0089$      & $-0.0079$       & $-0.0074$      \\
                                         & $(0.0079)$      & $(0.0075)$      & $(0.0079)$      & $(0.0111)$     & $(0.0098)$      & $(0.0113)$     \\
Spatial Lag Parameter: $\rho$            &                 & $0.2276^{***}$  &                 &                & $0.2305^{***}$  &                \\
                                         &                 & $(0.0151)$      &                 &                & $(0.0390)$      &                \\
$\boldsymbol{W_x}$: Chinese State Visits &                 &                 & $-0.0009$       &                &                 & $0.0182$       \\
                                         &                 &                 & $(0.0195)$      &                &                 & $(0.0252)$     \\
Ln(Population)                           & $-0.0382^{**}$  & $-0.0078$       & $-0.0382^{**}$  & $-0.1801^{**}$ & $-0.1803^{***}$ & $-0.1799^{**}$ \\
                                         & $(0.0179)$      & $(0.0171)$      & $(0.0179)$      & $(0.0902)$     & $(0.0660)$      & $(0.0902)$     \\
Ln(GDP per Capita)                       & $0.0414^{***}$  & $0.0409^{***}$  & $0.0415^{***}$  & $-0.0572^{*}$  & $-0.0668^{**}$  & $-0.0578^{*}$  \\
                                         & $(0.0080)$      & $(0.0076)$      & $(0.0081)$      & $(0.0323)$     & $(0.0288)$      & $(0.0323)$     \\
Trade Dependence                         & $0.0115^{**}$   & $0.0128^{**}$   & $0.0115^{**}$   & $0.0106$       & $0.0174$        & $0.0112$       \\
                                         & $(0.0054)$      & $(0.0051)$      & $(0.0054)$      & $(0.0333)$     & $(0.0284)$      & $(0.0333)$     \\
Electoral Democracy Index                & $0.0252$        & $0.0113$        & $0.0252$        & $-0.0977$      & $-0.0833$       & $-0.0990$      \\
                                         & $(0.0197)$      & $(0.0187)$      & $(0.0197)$      & $(0.0735)$     & $(0.0656)$      & $(0.0735)$     \\
Capability Ratio                         & $-0.2414$       & $0.0679$        & $-0.2413$       & $-0.0159$      & $0.1444$        & $0.0420$       \\
                                         & $(0.1677)$      & $(0.1604)$      & $(0.1677)$      & $(0.9562)$     & $(0.3728)$      & $(0.9598)$     \\
Years of Diplomatic Relations            & $-0.0024^{***}$ & $-0.0021^{***}$ & $-0.0024^{***}$ & $0.0044$       & $0.0044$        & $0.0044$       \\
                                         & $(0.0007)$      & $(0.0007)$      & $(0.0007)$      & $(0.0047)$     & $(0.0041)$      & $(0.0047)$     \\
Change in Source of Leader Support       & $-0.0062$       & $-0.0044$       & $-0.0062$       & $-0.0040$      & $-0.0032$       & $-0.0039$      \\
                                         & $(0.0079)$      & $(0.0075)$      & $(0.0079)$      & $(0.0128)$     & $(0.0092)$      & $(0.0128)$     \\
\hline
Fixed Country Effects                    & YES             & YES             & YES             & YES            & YES             & YES            \\
Fixed Year Effects                       & YES             & YES             & YES             & YES            & YES             & YES            \\
R$^2$                                    & $0.8739$        & $$              & $0.8739$        & $0.9312$       & $$              & $0.9313$       \\
Adj. R$^2$                               & $0.8676$        & $$              & $0.8676$        & $0.9187$       & $$              & $0.9187$       \\
Num. obs.                                & $4844$          & $4844$          & $$              & $1340$         & $1340$          & $$             \\
Parameters                               & $$              & $235$           & $$              & $$             & $209$           & $$             \\
Log Likelihood                           & $$              & $3001.8233$     & $2897.2865$     & $$             & $1226.7593$     & $1210.7190$    \\
AIC (Linear model)                       & $$              & $-5326.5707$    & $$              & $$             & $-2004.8244$    & $$             \\
AIC (Spatial model)                      & $$              & $-5533.6467$    & $$              & $$             & $-2035.5186$    & $$             \\
LR test: statistic                       & $$              & $209.0760$      & $$              & $$             & $32.6943$       & $$             \\
LR test: p-value                         & $$              & $0.0000$        & $$              & $$             & $0.0000$        & $$             \\
Sigma                                    & $$              & $$              & $0.1364$        & $$             & $$              & $0.1067$       \\
Statistic                                & $$              & $$              & $137.1559$      & $$             & $$              & $74.0760$      \\
P Value                                  & $$              & $$              & $0.0000$        & $$             & $$              & $0.0000$       \\
DF                                       & $$              & $$              & $233.0000$      & $$             & $$              & $207.0000$     \\
AIC                                      & $$              & $$              & $-5324.5729$    & $$             & $$              & $-2003.4380$   \\
BIC                                      & $$              & $$              & $-3800.4814$    & $$             & $$              & $-916.5492$    \\
Deviance                                 & $$              & $$              & $85.7453$       & $$             & $$              & $12.8778$      \\
DF Resid.                                & $$              & $$              & $4610$          & $$             & $$              & $1132$         \\
nobs                                     & $$              & $$              & $4844$          & $$             & $$              & $1340$         \\
\hline
\multicolumn{7}{l}{\scriptsize{$^{***}p<0.01$; $^{**}p<0.05$; $^{*}p<0.1$}}
\end{tabular}
}
\label{tab:apped1}
\end{center}
\end{table}
